Kinetic constraints vs chaos in classical many-body dynamics

I will present and discuss some recent results on ergodicity breaking in classical many-body spin systems. In particular, I will focus on a classical, clean (non-disordered) system of Heisenberg spins with kinetically constrained dynamics. The character of the dynamics depends on the strength of the constraint, with a transition between a chaotic regime and a localised regime in which the dynamics ceases. We finally discuss the universality class of the transition.

The talk will be based on the following references:

1. Aydin Deger, Sthitadhi Roy, and Achilleas Lazarides, "Constrained Dynamics and Directed Percolation.", Phys. Rev. Lett. 129, 190601 (2022).
2. Aydin Deger, Sthitadhi Roy, and Achilleas Lazarides, "Arresting Classical Many-Body Chaos by Kinetic Constraints.", Phys. Rev. Lett. 129, 160601 (2022).